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Real representations of C2-graded groups : the linear and Hermitian theories
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Rumynin, Dmitriy and Taylor, James (2022) Real representations of C2-graded groups : the linear and Hermitian theories. Higher Structures, 6 (1). pp. 359-374. doi:10.21136/HS.2022.07
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Official URL: https://doi.org/10.21136/HS.2022.07
Abstract
We study linear and hermitian representations of finite C2-graded groups. We prove that the category of linear representations is equivalent to a category of antilinear representations as an infinity-category. We also prove that the category hermitian representations, as an ∞-category, is equivalent to a category of usual representations.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | Higher Structures | ||||||
| Publisher: | Macquarie University | ||||||
| ISSN: | 2209-0606 | ||||||
| Official Date: | 2022 | ||||||
| Dates: |
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| Volume: | 6 | ||||||
| Number: | 1 | ||||||
| Page Range: | pp. 359-374 | ||||||
| DOI: | 10.21136/HS.2022.07 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access | ||||||
| Open Access Version: |
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